Question 177434


Start with the given system of equations:

{{{system(18x-18y=0,12x-12y=-12)}}}



{{{2(18x-18y)=2(0)}}} Multiply the both sides of the first equation by 2.



{{{36x-36y=0}}} Distribute and multiply.



{{{-3(12x-12y)=-3(-12)}}} Multiply the both sides of the second equation by -3.



{{{-36x+36y=36}}} Distribute and multiply.



So we have the new system of equations:

{{{system(36x-36y=0,-36x+36y=36)}}}



Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:



{{{(36x-36y)+(-36x+36y)=(0)+(36)}}}



{{{(36x+-36x)+(-36y+36y)=0+36}}} Group like terms.



{{{0x+0y=36}}} Combine like terms.



{{{0=36}}}Simplify.



Since {{{0=36}}} is <font size="4"><b>NEVER</b></font> true, this means that there are no solutions. 



So the system is inconsistent.